Long time dynamics of 2D quasi-geostrophic equations with damping in Lp
Long time dynamics of 2D quasi-geostrophic equations with damping in Lp
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DOI：
10.1016/j.jmaa.2013.11.019
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发表时间：
2014-04
影响因子：
1.3
通讯作者：
Ming Wang;Yanbin Tang
中科院分区：
文献类型：
--
作者：
Ming Wang;Yanbin Tang
研究了具有阻尼项的二维准地转方程解在全空间上的长时间行为。证明了Lp中全局吸引子的存在性.新的困难来自于非局部项和Banach空间L p。我们通过使用与分数拉普拉斯算子相关的交换子估计和正性不等式来克服它们。
The long time behavior of solutions of 2D quasi-geostrophic equations with damping on the whole space is studied. The existence of the global attractor in L p is proved. New difficulties come from nonlocal terms and the Banach space L p. We overcome them by using commutator estimates and positivity inequalities associated with fractional Laplacian.